Deutsche Asset Management [LOGO]
                                             A Member of the Deutsche Bank Group





President
Section 906 Certification under Sarbanes Oxley Act





I, Vincent J. Esposito, certify that:

1.       I have reviewed this report, filed on behalf of Scudder Strategic
         Municipal Income Trust, on Form N-CSR;

2.       Based on my knowledge and pursuant to 18 U.S.C. ss. 1350, the periodic
         report on Form N-CSR (the "Report") fully complies with the
         requirements of ss. 13 (a) or ss.15 (d), as applicable, of the
         Securities Exchange Act of 1934 and that the information contained in
         the Report fairly presents, in all material respects, the financial
         condition and results of operations of the Company.




January 31, 2006                      /s/Vincent J. Esposito
                                      ----------------------
                                      Vincent J. Esposito
                                      President
                                      Scudder Strategic Municipal Income Trust










                                                Deutsche Asset Management [LOGO]
                                             A Member of the Deutsche Bank Group




Chief Financial Officer and Treasurer
Section 906 Certification under Sarbanes Oxley Act





I, Paul Schubert, certify that:

1.       I have reviewed this report, filed on behalf of Scudder Strategic
         Municipal Income Trust, on Form N-CSR;

2.       Based on my knowledge and pursuant to 18 U.S.C. ss. 1350, the periodic
         report on Form N-CSR (the "Report") fully complies with the
         requirements of ss. 13 (a) or ss. 15 (d), as applicable, of the
         Securities Exchange Act of 1934 and that the information contained in
         the Report fairly presents, in all material respects, the financial
         condition and results of operations of the Company.



January 31, 2006                     /s/Paul Schubert
                                     ------------------------------
                                     Paul Schubert
                                     Chief Financial Officer and Treasurer
                                     Scudder Strategic Municipal Income Trust